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Finding the Fourth Proportional to 1,277.07, 1,762.38 and 753.12

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Solution

The fourth proportional to 1,277.07, 1,762.38 and 753.12 is: 1,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.07 : 1,762.38 = 753.12 : x
  2. Step 2: Convert to fraction form
    1,277.07/1,762.38 = 753.12/x
  3. Step 3: Cross multiply
    1,277.07x = 1,762.38 × 753.12
  4. Step 4: Simplify right side
    1,277.07x = 1,327,283.63
  5. Step 5: Solve for x
    x = 1,327,283.63/1,277.07
  6. Step 6: Final answer
    x = 1,039.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.